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Finding the Fourth Proportional to 10,650.68, 14,695.86 and 5,934.08

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Solution

The fourth proportional to 10,650.68, 14,695.86 and 5,934.08 is: 8,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.68 : 14,695.86 = 5,934.08 : x
  2. Step 2: Convert to fraction form
    10,650.68/14,695.86 = 5,934.08/x
  3. Step 3: Cross multiply
    10,650.68x = 14,695.86 × 5,934.08
  4. Step 4: Simplify right side
    10,650.68x = 87,206,408.91
  5. Step 5: Solve for x
    x = 87,206,408.91/10,650.68
  6. Step 6: Final answer
    x = 8,187.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.